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If dimensions are given, physical quantity may not be unique as many physical quantities have same dimensions. e.g., If the dimensional formula of a physical quantity is [ML²T⁻²], it may be work or energy or torque.
- Force = mass × acceleration
- Force = velocity/time
- Work = Force × displacement
- Torque = Force × force arm
Correct answer: Torque = Force × force arm
Solution
The dimensional formula [ML²T⁻²] corresponds to quantities like work, energy, and torque. Among the options, 'Torque = Force × force arm' has the correct dimensional formula [ML²T⁻²].
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